Dual graph contraction reduces the number of vertices and of edges of a pair of dual image graphs while, at the same time, the topological relations among the 'surviving' components are preserved. Repeated application produces a stack of successively smaller graphs: a pair of dual irregular pyramids. The process is controlled by selected decimation parameters which consist of a subset of surviv...

In this study we compared human discrimination performance for real and virtual curved shapes. To simulate a curved shape we used a device that could independently orient and elevate a moving surface that was in contact with an exploring finger. Thus, the geometry was preserved up to the first order in the virtual shape. In our experiment we found that this preservation was indeed sufficient: d...

Mesh optimization is critical in numerical simulations involving complex or evolving geometry. Because of the geometric constraints, such as preservation of sharp features and conservation of volume, optimizing a surface mesh poses significant challenges, especially when a CAD model is unavailable. In this paper, we introduce a formulation of volume conservation in a local sense for surface mes...

Since their introduction in a classic paper by Rudin, Osher and Fatemi [26], total variation minimizing models have become one of the most popular and successful methodology for image restoration. More recently, there has been a resurgence of interest and exciting new developments, some extending the applicabilities to inpainting, blind deconvolution and vector-valued images, while others offer...

The goal of this work is to develop an atraumatic stent concept for percutaneous aortic valve replacement. Shape setted braided nitinol wires, thanks to their specific geometry and elasticity, allows stent's compressibility, self deployment and aortic root preservation. Prototypes manufacturing technique and relatives constraints are presented. Performance of the obtained prototypes are evaluat...

We look at an M5-brane wrapping a Special Lagrangian 3-cycle in a Calabi-Yau 3-fold and study the geometry that arises when the backreaction of this brane is taken into account. Not surprisingly, the background does not remain complex. However an almost complex structure survives, (in terms of which we can define the analogue of the Kahler form), as does a globally defined (3,0) form. The requi...

In this paper, we present and experiment a novel approach for retrieving 3D geometric texture patterns on 2D mesh-manifolds (i.e., surfaces in the 3D space) using local binary patterns (LBP) constructed on the mesh. The method is based on the recently proposed mesh-LBP framework [WBD15]. Compared to its depth-image counterpart, the mesh-LBP is distinguished by the following features: a) inherit...

This paper introduces new techniques for interactive piecewise at-tening of parametric3-D surfaces, leading to a non-distorted,hence realistic, texture mapping. Cuts are allowed on the mapped texture and we make a compromise between discontinuities and distortions. These techniques are based on results from diierential geometry, more precisely on the notion of \geodesic curvature": isoparametri...

Classifying M examples using a support vector machine containing L support vectors traditionally requires exactly M . L kernel computations. We introduce a computational geometry method for which classification cost becomes roughly proportional to the difficulty of each example (e.g. distance from the discriminant hyperplane). It produces exactly the same classifications, while typically requir...

background: the success of dental implants depends on the manner in which stresses are transferred to the surrounding bone. an important consideration is to design an implant with a geometry that will minimize the peak bone stresses caused by standard loading. the aim of this study was to assess the infl uence of implant thread geometry on biomechanical load transfer and to compare the differen...